Optimized Fuzzy Fractional-order Controller for a Nonlinear Chaos System With Period-doubling Bifurcation Analysis

Chaos study and control is one of the dynamic fields of research nowadays. The non-linear dynamic behavior such as fast scale bifurcation results in an unpredictable chaos action so it is essential to eliminate this behavior. So, the main objective of this paper is to propose an optimized fuzzy fractional PID controller to suppress the chaos action and stabilize a nonlinear chaotic. The cuckoo search optimization (CSO) technique’s optimal solution is used to optimize the fractional order controller parameters while considering integral time absolute error as the objective function and the FLC will adapt the controller parameters so that it provides a good performance. Here, the boost converter for permanent magnet DC motor is selected as a chaotic system as case study. The dynamic characteristic of the system is analysed by waveform, phase portrait, and Fillipov theory. Then, the proposed controller is compared with three additional controllers, such as controlling saltation matrix, optimized-PID, and optimized-Fractional PID. The proposed technique enhances the performance of the system and stabilized the response of the output and suppress the bifurcation behavior for nonlinear system. Finally, the effectiveness of the proposed technique has justified by simulation results on the PMDC drive system in a specified interval with variation the load to emphasize its superiority over all other controllers.